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Wewaii [24]
3 years ago
13

A.Find the L.C.M of 18, 40, and 75.​

Mathematics
2 answers:
Slav-nsk [51]3 years ago
5 0

Answer:

1800

Step-by-step explanation:

→ First of all we need to find the prime factorisation of the numbers.

18 = 2 × 3 × 3 or 2 × 3²

40 = 2 × 2 × 2 × 5 or 2³ × 5

75 = 3 × 5 × 5 or 5² × 3

→ Now find the number that appear twice or more and write them down

3 and 3 from 18

2, 2 and 2 from 40

5 and 5 from 75

→ Now multiply all of these numbers together

3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800

Mekhanik [1.2K]3 years ago
3 0

Answer:

1800

Step-by-step explanation:

Hello,

First of all we need to find the prime factorisation of the numbers.

18 = 2 * 3 * 3

40 = 2 * 2 * 2 * 5

75 = 3 * 5 * 5

It means that the LCM should have 5 * 5 , 2 * 2 * 2 and 3 * 3

Then LCM = 3 * 3 * 2 * 2 * 2 * 5 * 5 = 1800

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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What are the domain and range of the function f(x) = 3/4x + 5?
pantera1 [17]

Answer:

Domain = (-∞,∞)

Range = (-∞,∞)

This is a linear function.

So, if you were to graph this you'd know that it crosses the x and y axis and continues on forever without stopping.

in that case the domain and range are considered infinite on both axes.

3 0
3 years ago
The 4th term in a geometric sequence is -15, the 5th term is 45 and the 6th term is -135. Find the sum of the first 7 terms.
Andreas93 [3]

Answer:

d) 303 8/9

Step-by-step explanation:

4th term = ar^3  and 5th = ar^4   where a = first term and r = common ratio.

So ar^4 / ar^3

= r = 45/-15 = -3.

Working back,:

The first term a = ar^3/ r^3

= -15 / (-3)^3

= -15/-27

= 5/9

Sum of n terms = a * (r^n - 1)/(r-1)

= 5/9 * ((-3)^7 - 1 ) / (-3 -1)

= 303 8/9

3 0
2 years ago
Read 2 more answers
William bought some tickets to see his favorite singer. He bought some adult tickets and some children tickets, for a total of 1
Viefleur [7K]
Hello!

Let 'a' stand for adult tickets and 'c' for children tickets.

a + c = 15

(Both adult and children tickets make up a total of 15 tickets).

30a + 20c = 330

a = 3

c = 12

A N S W E R:

William bought 3 adults tickets and 12 children's tickets.

5 0
3 years ago
A 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 110t calor
marin [14]

The net decrease in calories after walking for 5 hours is 50 calorie.

According to the statement

we have given that the

A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.

And we have to find the net decrease in calories after walking for 5 hours.

So, For this purpose,

We know that the

calories burns in one hour = 200−20t

calories burns in 5 hours = 5(200−20t)

calories burns in 5 hours = 1000 - 100t

Now,

Calorie intake in t hours = 110t

And

net decrease in calories after walking for 5 hours =  100t - 1000 + 110t

put t is 5 then

net decrease in calories after walking for 5 hours = 210(5) - 1000

net decrease is 50 cal.

So, The net decrease in calories after walking for 5 hours is 50 calorie.

Learn more about calorie here

brainly.com/question/11460467

#SPJ1

3 0
1 year ago
Help on these 2 please!!
gladu [14]
Hope this helps
7 \frac{1}{5}  - 2 \frac{3}{5}  =  \frac{36}{5}  -  \frac{13}{5}  =  \frac{23}{5}  = 4 \frac{3}{5}

8 \frac{2}{5}  - 4 \frac{3}{5}  =  \frac{42}{5}  -  \frac{23}{5}  =  \frac{19}{5}  = 3 \frac{4}{5}
good luck
6 0
3 years ago
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